Chinese Optics, Volume. 17, Issue 4, 852(2024)

Vortex phase-shifting digital holography for micro-optical element surface topography measurment

Yi-meng XUE1,2, Bing-cai LIU1,2, Yong-qiang PAN1,2、*, Xin-meng FANG1,2, Ai-ling TIAN1,2, and Rui-xuan ZHANG1,2
Author Affiliations
  • 1School of Opto-Electronic Engineering, Xi’an Technological University, Xi’an 710021, China
  • 2Shaanxi Province Key Laboratory of Thin Film Technology and Optical Testing, Xi’an Technological University, Xi’an 710021, China
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    Figures & Tables(12)
    Schematic diagram of rotating SPP modulated vortex phase
    Schematic diagram of vortex phase-shifting digital holographic microscopy
    Experimental setup for vortex phase-shifting digital holographic microscopy
    Four-step phase-shifting holograms
    Four phase-shifting holograms of micro-lens arrays
    Results of micro-lens array phase processing
    Individual micro-lens section line selection
    Phase-shifting holograms for micro-lens arrays
    Simulation measurement results
    Relationship curves between micro-lens vector height and rotational angle error
    • Table 1. Actual phase shift and phase shift error in phase shift holograms

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      Table 1. Actual phase shift and phase shift error in phase shift holograms

      No.Theoretical Phase Shift/radActual Phase Shift/radPhase Shift Error/rad
      1000
      20.5π0.4992π−0.0008π
      3π0.9963π−0.0037π
      41.5π1.4876π−0.0024π
    • Table 2. Experimental results of the measured longitudinal vector height of micro-lens arrays

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      Table 2. Experimental results of the measured longitudinal vector height of micro-lens arrays

      No.Vertical height of single micro-lens/μmAbsolute error/μmRelative error/%
      112.9060.0110.085
      212.9170.0000.000
      312.9200.0030.023
      412.8980.0190.147
      512.9210.0040.031
      612.8750.0420.325
      712.8970.0200.155
      812.8600.0570.441
      912.8710.0460.356
      1012.9030.0140.108
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    Yi-meng XUE, Bing-cai LIU, Yong-qiang PAN, Xin-meng FANG, Ai-ling TIAN, Rui-xuan ZHANG. Vortex phase-shifting digital holography for micro-optical element surface topography measurment[J]. Chinese Optics, 2024, 17(4): 852

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    Paper Information

    Received: Oct. 11, 2023

    Accepted: --

    Published Online: Aug. 9, 2024

    The Author Email:

    DOI:10.37188/CO.2023-0180

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